1. Equivalent Systems

2. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
Fixed Support

3. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
Example: Replace the system of forces and moments with 1 force and 1 moment at A.
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
Fixed Support

4. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
Example: Replace the system of forces and moments with 1 force and 1 moment at A.
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
Fixed Support A
Fixed Support
EQUIVALENT…..

5. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
Example: Replace the system of forces and moments with 1 force and 1 moment at A.
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
5 lb
Fixed Support 4 A 3
Fixed Support
EQUIVALENT…..

6. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
Example: Replace the system of forces and moments with 1 force and 1 moment at A. i.e., “what are the resultants Fr and Mr at Point A?”
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
5 lb
Fixed Support 4 A 3
Fixed Support
EQUIVALENT….

7. Objective 1: “Replace a system of Forces and Moments with an Equivalent system of 1 Force and 1 Moment
Example: Replace the system of forces and moments with 1 force and 1 moment at A. i.e., “what are the resultants Fr and Mr at Point A?”
4 lb
10 lb-ft A
3 lb
5 ft
5 ft
5 lb
Fixed Support 4 A 3
30 lb-ft
Fixed Support
EQUIVALENT SYSTEM

9. Problem 3: Replace the loading with an equivalent resultant force and specify the resultant’s location (line-of-action).